POST UTME COAL CITY UNIVERSITY 2017 Physics | Objective

Practice these randomly selected questions to test your readiness.

Question 1
A 10 Ω resistor, a 20 μF capacitor, and a 50 mH inductor are connected in series across a 120 V AC source. If the frequency of the source is 50 Hz, calculate the impedance of the circuit.
A. 15 Ω
B. 20 Ω
C. 25 Ω
D. 30 Ω
Question 2
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. If the particle is subjected to a centripetal force of 12 N, what is the magnitude of the acceleration of the particle?
A. 6 m/s^2
B. 12 m/s^2
C. 24 m/s^2
D. 48 m/s^2
Question 3
A block of mass 4 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 150 N/m. The block is displaced by 0.4 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the angular frequency of the block.
A. 2 rad/s
B. 4 rad/s
C. 6 rad/s
D. 8 rad/s
Question 4
A body of mass 5 kg is moving with a velocity of 10 m/s. What is its kinetic energy?
A. 50 J
B. 100 J
C. 150 J
D. 200 J
Question 5
A body of mass 2 kg is moving with a velocity of 5 m/s. If the body is subjected to a force of 10 N, what is its acceleration?
A. 2 m/s^2
B. 5 m/s^2
C. 10 m/s^2
D. 15 m/s^2
Question 6
A simple harmonic motion has a frequency of 5 Hz and an amplitude of 2 m. If the initial phase angle is 30°, what is the equation of the motion?
A. ( x(t) = 2 \cos \( 10pi t + \frac{pi}{6} \) )
B. ( x(t) = 2 \sin \( 10pi t + \frac{pi}{6} \) )
C. ( x(t) = 2 \cos \( 10pi t - \frac{pi}{6} \) )
D. ( x(t) = 2 \sin \( 10pi t - \frac{pi}{6} \) )
Question 7
A particle of mass 2 kg is moving in a circular path of radius 3 m with a cons\tant speed of 4 m/s. What is the magnitude of the force acting on the particle?
A. 12 N
B. 16 N
C. 20 N
D. 24 N
Question 8
A circuit consists of a resistor, an inductor, and a capacitor connected in series. If the frequency of the AC source is increased, what happens to the impedance of the circuit?
A. decreases
B. increases
C. remains the same
D. becomes zero
Question 9
A body is in equilibrium under the action of three forces. If the magnitude of two forces is 10 N and the magnitude of the third force is 20 N, what is the angle between the two forces?
A. 30°
B. 45°
C. 60°
D. 75°
Question 10
A parallel plate capacitor has a capaci\tance of 10 μF. If a potential difference of 100 V is applied across the plates, calculate the charge stored on the capacitor.
A. 0.1 C
B. 0.2 C
C. 0.3 C
D. 0.4 C
Question 11
A circuit consists of a 12 V battery, a 4 ohm resistor, and a 6 ohm resistor connected in series. If the current in the circuit is 2 A, what is the power dissipated in the 6 ohm resistor?
A. 12 W
B. 24 W
C. 36 W
D. 48 W
Question 12
A wave has a frequency of 50 Hz and a wavelength of 0.5 m. What is its velocity?
A. 20 m/s
B. 25 m/s
C. 30 m/s
D. 35 m/s
Question 13
A block of mass 5 kg is placed on a frictionless surface and attached to a horizontal spring with a force cons\tant of 200 N/m. The block is displaced by 0.3 m from its equilibrium position and released from rest. Assuming the motion is simple harmonic, calculate the potential energy of the block when it has moved 0.2 m from its equilibrium position.
A. 10 J
B. 20 J
C. 30 J
D. 40 J
Question 14
A block of mass 5 kg is placed on a frictionless surface and a horizontal force of 20 N is applied to it. If the block starts from rest and moves with a cons\tant acceleration of 4 m/s^2, what is the work done on the block?
A. 80 J
B. 160 J
C. 240 J
D. 320 J
Question 15
A 100 W bulb is connected to a 220 V AC source. If the bulb is rated for 5 A, calculate the power factor of the bulb.
A. 0.5
B. 0.6
C. 0.7
D. 0.8

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